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Finding the Fourth Proportional to 299,951.91, 449,928.32 and 120,118.32

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Solution

The fourth proportional to 299,951.91, 449,928.32 and 120,118.32 is: 180,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,951.91 : 449,928.32 = 120,118.32 : x
  2. Step 2: Convert to fraction form
    299,951.91/449,928.32 = 120,118.32/x
  3. Step 3: Cross multiply
    299,951.91x = 449,928.32 × 120,118.32
  4. Step 4: Simplify right side
    299,951.91x = 54,044,633,918.82
  5. Step 5: Solve for x
    x = 54,044,633,918.82/299,951.91
  6. Step 6: Final answer
    x = 180,177.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.